What is the area of this triangle? Enter your answer as a decimal. Round only your final answer to the nearest tenth.

___in^2

Answer:

Need to see the choices

Step-by-step explanation:

1,8272 --- 8,000

17,282 --- 80

8,000÷80=100 times greater

Final answer:

The value of 8 in the number 18,272 (8,000) is 100 times greater than its value in the number 17,282 (80).

Explanation:

The question is asking how many times the value of 8 in 18,272 is greater than the value of 8 in 17,282.

In the number 18,272, the 8 is in the thousands place, making it have a value of 8,000. In the number 17,282, the 8 is in the tens place, giving it a value of 80.

To determine how many times greater the value of 8 is in the first number compared to the second, divide the larger value by the smaller value: 8,000 ÷ 80 = 100.

Therefore, the value of 8 in 18,272 is 100 times greater than in 17,282.

Answer:

I need numbers to actually calculate the problem.

Step-by-step explanation:

Answer:36ft^3

Step-by-step explanation:

Answer:

(-6, 1)

Step-by-step explanation:

We are given a point with the coordinates (-4, -2) and we are to plot this on a graph and then find another point by moving three units upwards and 2 units towards left.

If we move 3 units up from the point (-4, -2), we get (-4, 1).

Then from (-4, 1), we move 2 units towards left and we get the coordinates of this new point which are (-6, 1).

the correct answer choice is B.

The equation of the graph for the function f(x) = 7x after being shifted 6 units to the right is g(x) = 7(x - 6), which is option B.

When a graph of the form f(x) = mx is shifted horizontally, this is represented in the equation by manipulating the x variable within the function. A shift to the right by 6 units results in the input value being decreased by 6 before it is multiplied by the slope (in this case, 7). Therefore, the new equation reflecting a horizontal shift to the right is g(x) = 7(x - 6), which corresponds to option B.

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Answer:

about [tex]49.1\ cm^{2}[/tex]

Step-by-step explanation:

The area of the composite figure is approximate to the area of the rectangle plus the area of the semicircle at the top of the rectangle plus the semicircle at the right of the rectangle

Find the area of the rectangle

[tex]A=(3*1.5)(4*1.5)=27\ cm^{2}[/tex]

Find the area of the semicircle at the top of the rectangle

[tex]A=\frac{1}{2}\pi (2*1.5)^{2}=4.5 \pi\ cm^{2}[/tex]

Find the area of the semicircle at the right of the rectangle

[tex]A=\frac{1}{2}\pi (1.5*1.5)^{2}=2.53 \pi\ cm^{2}[/tex]

The area of the composite figure is

[tex]27\ cm^{2}+4.5 \pi\ cm^{2}+2.53 \pi\ cm^{2}=(27+7.03 \pi)\ cm^{2}[/tex]

use [tex]\pi=3.14[/tex]

[tex](27+7.03(3.14))=49.1\ cm^{2}[/tex]

Answer:

The point is (3.5 , 7.25)

Step-by-step explanation:

∵ A = (2 , 8) and B = (8 , 5)

∵ Let point P divides AB into a ratio 1:3

∵ [tex]x=\frac{m_{2}x_{1}+m_{1}x_{2}}{m_{1}+m_{2}}[/tex]

∵ [tex]y=\frac{m_{2}y_{1}+m_{1}y_{2}}{m_{1}+m_{2}}[/tex]

∴ x-coordinate of P = (2)(3) + (8)(1)/3 + 1 = (6 + 8)/4 = 3.5

∴ y-coordinate of P = (8)(3) + (5)(1)/1 + 3 = (24 + 5)/4 = 7.25

∴ P = (3.5 , 7.25)

The point that partitions the directed line segment AB into a 1:3 ratio is P(3.5, 7.25), calculated using the section formula.

To find the point that partitions the directed line segment AB into a 1:3 ratio, we use the section formula. The section formula for a point P(x, y) that divides the line segment connecting A(2, 8) to B(8, 5) in the ratio m:n is given by:

x = ([tex]m \times x2 + n \times x1[/tex]) / (m + n)

y = ([tex]m \times y2 + n \times y1[/tex]) / (m + n)

Given the ratio 1:3, the coordinates for point P can be calculated as follows:

x = ([tex]1 \times 8 + 3 \times 2[/tex]) / (1 + 3) = (8 + 6) / 4 = 14 / 4 = 3.5

y = ([tex]1 \times 5 + 3 \times 8[/tex]) / (1 + 3) = (5 + 24) / 4 = 29 / 4 = 7.25

Therefore, the point that divides the line segment AB in a 1:3 ratio is P(3.5, 7.25).

Answer:

You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. The x coordinate will always be 0

Step-by-step explanation:

by seeing at which a point cuts y axis

Answer:

D  2x(3x+4) + 1(3x+4)

Step-by-step explanation:

(2x+1) (3x+4)

We need to FOIL

First 2x*3x = 6x^2

Outer 2x*4 = 8x

Inner 1*3x =3x

Last 1*4 =4

Add them together

6x^2 +8x+3x+4

Combine like terms

6x^2 +11x+4

This process is simply taking 2x (3x+4) and adding 1 (3x+4)

2x(3x+4) + 1(3x+4)

Answer:

A, C, E

Step-by-step explanation:

From the table you can see that the water depth cahnges

[tex]0.8-0.4=1.2-0.8=1.6-1.2=2.0-1.6=0.4\ in[/tex]

for every

[tex]4-2=6-4=8-6=10-8=2\ in[/tex] of snow (option B is false).

This means that the function modelling this situation is linear function (option A is true and option D is false). Let the equation of this function be [tex]y=ax+b.[/tex] Then

[tex]0.4=2a+b,\\ \\0.8=4a+b.[/tex]

Subtract these two equations:

[tex]2a=0.8-0.4,\\ \\2a=0.4,\\ \\a=0.2.[/tex]

Hence,

[tex]b=0.4-2\cdot 0.2=0.[/tex]

The equation of the straight line (the graph of linear function) is [tex]y=0.2x.[/tex] (option E is true) This line passes through the point (0,0), because its coordinates satisfy the equation (option C is true).

Answer:

A and C

Step-by-step explanation:

Ok listen here. The guy from the other thing said ACE however thats so wrong that I can't explain how wrong that is. how is it wrong you might ask. Well if you can READ the question you know that you should select 2 options

second of all f(x)=0.2^x is saying that if x equals 2 then y is 0.2*0.2 which is 0.04 which is not the result.

I hope this helps more than whatever answer the other answer was. If not then you gotta figure it out yourself

Answer: third option

Step-by-step explanation:

By definition, for the function [tex]y=b^x[/tex] if 0<b<1 then the function decreases from left to right

Therefore, it cannot be the options 1 or the option 2.

As the function given in  the third option of problem has a negative coefficient (which is -2) and b=0.3 (0<b<1)

[tex]y=-2*0.3^x[/tex]

Then, each ouput value wil be negative.

Therefore, you can conclude that the  function [tex]y=-2*0.3^x[/tex] decreases and going downwards from left to right.

Answer:

The answer is B.

Step-by-step explanation:

got it right on edge.

Answer:

The 3 geometric solids with circular cross sections are a sphere, a cone and a cylinder

Step-by-step explanation:

While a cone and a cylinder will not in every direction, if you slice them on a horizontal plane, they will have a circular cross section.

The sphere, cylinder, and cone are three-dimensional geometric solids with circular cross sections, existing in both solid and hollow forms, important in physics for understanding properties like moment of inertia and involvement in superelastic collisions.

Three geometric solids that possess circular cross sections are the sphere, cylinder, and cone. These shapes are known as three-dimensional solid figures. The sphere is a solid figure where all points on the surface are equidistant from the center, resulting in any cross-section through its center being a circle.

A cylinder is a solid with straight parallel sides and a circular or oval cross section. A cone has a flat circular base and tapers to a point called the apex or vertex, creating circular cross-sections when sliced parallel to the base.

In addition to fully solid forms, there are also hollow versions of these shapes, such as the hollow spherical shell, which still have circular cross sections. These solids can be involved in various physics concepts such as rotational dynamics and superelastic collisions. When analyzing the rotational motion or collision attributes of these solids, the shapes' geometrical and mass properties play a crucial role.

For instance, the moment of inertia of a solid sphere differs from that of a hollow spherical shell due to the distribution of mass within the object.

Answer:

16 minutes

Step-by-step explanation:

There's literally unlimited answers but here are some simple ones.

5 x 11 = 55

55 = 55

55 > 54

1 < 55

3 x 2 < 55

To compare numbers to 55, choose numbers less than, greater than, or equal to 55 and use the appropriate comparison operator. Examples include 50 < 55 (less than), 55 = 55 (equal to), and 60 > 55 (greater than).

To compare numbers with 55 using the comparison operators >, <, and =, we must choose numbers that are either greater than, less than, or equal to 55. For example:

When you are comparing numbers, always remember that a number is greater than another if it represents a larger quantity, and it is less than another if it represents a smaller quantity. The equal sign is used when the quantities are identical.

Answer:

d. X^2 - 49

Step-by-step explanation:

I will assume that the question marks are minus signs.

Let's remember what does "difference of two squares" means:

The difference of two squares is a number multiplied by itself subtracted from another number multiplied by itself (the number multiplied by itself is called squared number).

In our options, the first number is always a squared number because it's X^2 = X * X.

We just have to analyze the second number.  

First, let's notice that a. and c. can't be correct because we have a sum instead of a subtract.

We have left 14 and 49 to analyze:

14 = 7*2 (it's not a squared number)

49 = 7*7 (it's a squared number)

The answer is X*X - 7*7 = X^2 - 49

Answer:

-35

Step-by-step explanation:

[tex]5p/7-18=-43[/tex] ⇒ [tex]5p/7=-43+18[/tex] ⇒

[tex]7(5p/7=- 25)7[/tex] ⇒ [tex]5p=-175[/tex] ⇒

[tex]5p/5 = -175/5[/tex] ⇒ [tex]p = -35[/tex]

Answer:

A:

Step-by-step explanation:

***I'm pretty sure A should read "NO, because the test value 1.257 is less than the critical value 1.782.  Please check the wording of the problem***

H0 : μ ≤ 400

Ha : μ > 400 (claim)

Sample mean: 6,155/13

Sample standard deviation: √44422.4359

Critical test value:   t > 1.782

t =  (6,155/13 - 400)/[(√44422.4359)/√13]   =   1.257    

    1.257 < 1.782  ;  we fail to reject the null hypothesis

There is not enough evidence at the 5% level of significance to support the claim that the mean  battery life is at least 400 hours.  

Answer:

5.25 or 5 1/4 MPH

Step-by-step explanation:

1. convert 15 3/4 into a decimal = 15.75

2. divide the miles canoed (15.75) by the time (3)

    15.75/3 = 5.25 MPH

Answer:

C. 2916

Step-by-step explanation:

The given limits is

[tex]\lim_{h \to 0} \frac{f(9+h)-f(9)}{h}[/tex]

if [tex]f(x)=x^4[/tex].

[tex]\Rightarrow f(9)=9^4=6561[/tex]

[tex]f(h+9)=(h+9)^4=h^4+36 h^3+486 h^2+2916 h+6561[/tex]

Our limit becomes;

[tex]\lim_{h \to 0} \frac{f(h+9)-f(9)}{h}= \lim_{h \to 0} \frac{h^4+36 h^3+486 h^2+2916 h+6561-6561}{h}[/tex]

This simplifies to;

[tex]\lim_{h \to 0} \frac{f(h+9)-f(9)}{h}= \lim_{h \to 0} \frac{h^4+36 h^3+486 h^2+2916 h}{h}[/tex]

[tex]\lim_{h \to 0} \frac{f(h+9)-f(9)}{h}= \lim_{h \to 0} h^3+36 h^2+486 h+2916 [/tex]

[tex]\lim_{h \to 0} \frac{f(h+9)-f(9)}{h}= (0)^3+36 (0)^2+486(0)+2916 [/tex]

[tex]\lim_{h \to 0} \frac{f(h+9)-f(9)}{h}= 2916 [/tex]

the correct choice is C.

Answer:

$13.04 is the original price of the shirt

Step-by-step explanation:

As sales tax is 8% we will find the price of the shirt

11.34 * 8/100 = 0.91

11.34-0.91= 10.43

so, $10.43 is the price of the shirt after discount and excluding sales tax.

The original price of the shirt is:

10.43 * 25 /100 = 2.60

adding it to the price of shirt

10.43 + 2.61 = 13.04

Answer:

14 or 14.00

Step-by-step explanation:

If he is getting 25% off, that means that what he paid with 75% of the original cost. Don't forget that he also has to pay a percent tax so that is the same as multiplying by 1.08. (btw this is what it said the correct answer was after I get it wrong two times)

The correct Answer is: x= -5

It's me again ok so

Simplifying

5x = -25

Solving

5x = -25

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '5'.

x = -5

Simplifying

x = -5

BOOM

9514 1404 393

Answer:

  157 seconds

Step-by-step explanation:

The volume of the pail is ...

  V = πr^2·h

  V = 3.14(5 in)^2(16 in) = 1256 in^3

At 8 in^3/s it will take ...

  (1256 in^3)/(8 in^/s) = 157 s

to fill the pail.

It will take 157 seconds to fill the pail with milk.

Answer:

1999

Step-by-step explanation:

y=-15x^2+64x+360

y=-15(1)^2+64(1)+360

y=409

(y is in millions)

I hope this helps!

Answer:

[tex]\begin{array}{ccccc}\text{January}&\text{February}&\text{March}&\text{April}&\text{May}\\\dfrac{3}{20}&\dfrac{5}{20}&\dfrac{2}{20}&\dfrac{8}{20}&\dfrac{2}{20}\end{array}[/tex]

Step-by-step explanation:

During 5 months Laura wrote

3+5+2+8+2=20 songs.

1. The probability that the song was written in January is [tex]\frac{3}{20}.[/tex]

2. The probability that the song was written in February is [tex]\frac{5}{20}.[/tex]

3. The probability that the song was written in March is [tex]\frac{2}{20}.[/tex]

4. The probability that the song was written in April is [tex]\frac{8}{20}.[/tex]

5. 1. The probability that the song was written in May is [tex]\frac{2}{20}.[/tex]

The probabolity distribution table:

[tex]\begin{array}{ccccc}\text{January}&\text{February}&\text{March}&\text{April}&\text{May}\\\dfrac{3}{20}&\dfrac{5}{20}&\dfrac{2}{20}&\dfrac{8}{20}&\dfrac{2}{20}\end{array}[/tex]

Answer:

  c.  (π/2 -1) square units

Step-by-step explanation:

A segment that subtends an arc of θ in a circle of radius r has an area given by ...

  A = (1/2)(θ -sin(θ))r² . . . . . where θ is in radians

In your figure, the radius is r = √2 and the angle is 90°, so θ = π/2. Then the area is ...

  A = (1/2)(π/2 -sin(π/2))·(√2 units)²

  A = (π/2 -1) units²

Answer:

Beatrice is incorrect. All of these points are not on the same line because the slope between (-2, -1) and (1, 0), which are coordinates from each of the pairs above, is not equivalent equal to 1/2

Step-by-step explanation:

The answer is: incorrect; are not; is not. Beatrice is incorrect. All of these points are not on the same line because the slopes between (-2,-1) and (1,0)  is not equal to [tex]\frac{1}{2}[/tex].

Beatrice is incorrect. All of these points are not on the same line because the slope between (-2,-1) and (1,0) is not equal to 1/2.

Here’s a step-by-step explanation:

   [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex].

Since the slopes between these points vary, they do not lie on the same line. All three sets must have the same slope to be considered collinear.

Answer:

0.40

Step-by-step explanation:

Members who run only  long distance = 8%

So, probability that a member will run only long distance = P(A) = 0.08

Members who compete only in field events = 32%

So, probability that a member will compete only in field events = P(B) 0.32

Members who are sprinters = 12%

So, probability that a member is sprinter = P(C) 0.12

We have to calculate the probability that a randomly chosen team member runs only long-distance or competes only in field events. i.e we have to find P(A or B). Since these events cannot occur at the same time, we can write:

P(A or B) = P(A) + P(B)

Using the values, we get:

P(A or B) = 0.08 + 0.32 = 0.40

Thus, the probability that a randomly chosen team member runs only long-distance or competes only in field events is 0.40

The probability that a randomly chosen team member runs only long-distance or competes only in field events is 0.40.

1. To find the probability that a randomly chosen team member runs only long-distance or competes only in field events, we need to add the probabilities of these two mutually exclusive events.

2. Given:

3. Since these events are mutually exclusive (they cannot happen at the same time), we simply add the probabilities:

P(long-distance or field events) = P(long-distance) + P(field events)

P(long-distance or field events) = 0.08 + 0.32 = 0.40

Therefore, the probability that a randomly chosen team member runs only long-distance or competes only in field events is 40% or 0.40.

Answer:

B.

Step-by-step explanation:

63/4= 15.75

The rate of change of pay with respect to hours is $15.75 per hour.

The rate of the change by calculated by dividing the total pay by the corresponding number of hours.

The amount of money he earns is $63 in 4 hours.

Rate of change of pay = $110.25 - $63/7 - 4 per hour

= $15.75 per hour

This is consistent with the other values in the given table.

Rate of change of pay = $141.75 - $110.25/9 - 7 per hour

= $15.75 per hour

Therefore, we have found the rate of change of pay, y, with respect to hours, x to be $15.75 per hour. The correct answer is option B.

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Answer:

y = -x-3

x-y = -3

x - 2y = 10

Step-by-step explanation:

x − 3y = 6

Slope intercept form is y = mx +b

We need to solve for y

Subtract x from each side

x-x-3y = -x+6

-3y = -x +6

Divide each side by -3

-3y/-3 = -x/-3 +6/-3

y = 1/3 x -2

Standard form is Ax +By = C

y = -x-3

Add x to each side

x-y = -x+x-3

x-y = -3

y = 1/2x -5

We do not like fractions in standard form, so multiply by 2

2y = 2*1/2x -2*5

2y =x-10

Subtract x from each side

-x +2y = x-x-10

-x+2y = -10

We like to have the coefficient on x be positive

Multiply by -1

x - 2y = 10